Graphing Linear Inequalities and Lines

Front

What is a linear inequality?

Back

A linear inequality is a mathematical statement that compares a linear expression to a value using inequality symbols (like <, >, ≤, or ≥).

Front

What does it mean for a point to be a solution to a linear inequality?

Back

A point is a solution to a linear inequality if it makes the inequality true when substituted into the expression.

Front

What is the shaded area in a graph of a linear inequality?

Back

The shaded area represents all the possible solutions to the inequality.

Front

What does a dashed line indicate in a graph of a linear inequality?

Back

A dashed line indicates that points on the line are NOT included in the solution set.

Front

What does a solid line indicate in a graph of a linear inequality?

Back

A solid line indicates that points on the line ARE included in the solution set.

Front

How do you determine if a point is a solution to a linear inequality?

Back

Substitute the coordinates of the point into the inequality and check if the statement is true.

Front

What is the difference between a linear equation and a linear inequality?

Back

A linear equation shows equality (e.g., y = 2x + 1), while a linear inequality shows a range of values (e.g., y < 2x + 1).

Front

What does the symbol '>' mean in a linear inequality?

Back

The symbol '>' means 'greater than' and indicates that the left side is larger than the right side.

Front

What does the symbol '<' mean in a linear inequality?

Back

The symbol '<' means 'less than' and indicates that the left side is smaller than the right side.

Front

What does the symbol '≥' mean in a linear inequality?

Back

The symbol '≥' means 'greater than or equal to' and includes the boundary line in the solution.